Answer:
So we want to know how to write the inequality for Beth's jogging. The total number of miles Beth plans to jog cant go over 12, and she has already jogged for 3 miles, then she needs to jog for another m miles. This can be written mathematically like: 3 + m < 12. In other words: 3 miles + m miles Beth still plans to jog cant go over 12 miles.
Step-by-step explanation:
Answer:
3 hours
Step-by-step explanation:
We can solve using ratios
18 lbs 12 lbs
------------ = --------------
4.5 hrs x hours
Using cross products
18x = 12 * 4.5
18x = 54
Divide by 18
18x/18 = 54/18
x=3
Answer: 84
Step-by-step explanation:
4 x 21 is 84 a fraction can be simplified and be a whole number so if 84 divided by 4 it will be 21 if you want to write it as a fraction it will be 21/1 which is equal to 21
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Based on the given summation notation, the expression that shows one way to simplify 43 Σ n=1 (3+9n) is (a) 43 Σ n=1 3 + 43 Σ n=1 9n
<h3>How to determine the summation expression?</h3>
The expression is given as:
43Σn=1(3+9n)
As a general rule, if a summation notation is represented using the following expression
Σ(a + bn)
The equivalent expression of the above summation notation is
Σa + bn
Where the variable a is a constant in the expression
This means that:
Σ(a + bn) = Σa + bn
Using the above equation as a guide, we have the following equivalent equation
43 Σ n=1 (3+9n) = 43 Σ n=1 3 + 43 Σ n=1 9n
Hence, based on the given summation notation; the expression that shows one way to simplify 43 Σ n=1 (3+9n) is (a) 43 Σ n=1 3 + 43 Σ n=1 9n
Read more about summation notation at:
brainly.com/question/16599038
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